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One-Sided Limits Question

  1. Feb 13, 2013 #1
    lim e^(1/(6-x))
    x->6+

    Was wondering how to solve for this limit analytically. I plotted it and see it going to 0, but that is not the answer in the book.
     
  2. jcsd
  3. Feb 13, 2013 #2

    SammyS

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    Hello tsaitea. Welcome to PF !

    What is [itex]\displaystyle \lim_{x\to6^{+}}\,\frac{1}{6-x}\ ?[/itex]
     
  4. Feb 13, 2013 #3
    oh -infinity, but the answer is e^(17/3)?, maybe the book is wrong then?
     
  5. Feb 13, 2013 #4

    SammyS

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    Actually [itex]\displaystyle \ \ \lim_{x\to6^{+}}\,\frac{1}{6-x}=-\infty\ . [/itex]

    If the problem you were given was to find [itex]\displaystyle \ \ \lim_{x\to6^{+}}\,e^{1/(6-x)}\,,\ [/itex] then the book is wrong if it gives the answer as e^(17/3) . You were right in your original post to say the answer is zero.
     
  6. Feb 13, 2013 #5
    Okay, thanks so much!
     
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